If savings and investments are held in your sole name, your partner does not have any legal right to them unless it is possible to show that they contributed to them or there was an agreement that they would have a share.
The starting point from a legal point of view is that all joint bank accounts, investments and other policies in joint names are owned by you and your partner equally. However, if you can show that you contributed more towards an account than your partner did, you may be able to argue that you own more of it - see The steps involved – unmarried couples – the settlement). If your partner doesn't agree, you should take advice from a solicitor (see Useful Links) as to how you are going to claim this back.

Simone